Determine the range of the following graph:
1 answer:
Answer as an inequality:
Answer in interval notation: [2, 7]
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Explanation:
The range is the set of all possible y outputs of a function.
The lowest point occurs when y = 2
The highest point occurs when y = 7
The range is the set of every y value between 2 and 7, including the endpoints.
The range as an inequality is
It is equivalent to [2, 7] in interval notation. The square brackets include each endpoint.
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Given that line segment RU with vertices R(1, 1) and U(4, 5) is considered the base of parallelogram RSTU.
Then, the line segment ST with vertices S(7, 0) and T(10, 4) is the top of the parallelogram.
The corresponding height of the parallelogram is the length of a line with endponts at RU and ST and perpendicular to both RU and ST.
The equation of the line segment RU is given by
Recall that given that two lines are perpendicular, the product of the slope of the two lines is -1.
Let the slope of the line perpendicular to line RU be m, then
Thus, the equation of the line perpendicular to RU passing through point (1, 1) is given by
The equation of the line segment ST is given by
The line perpendicular to line segment RU intersected line segment ST at the point given by
Thus, the corresponding height of the parallelogram is the line with endpoints
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is given by
Thus, the length of the line passing through points
is given by
Therefore, <span>the corresponding height of the given parallelogram is 5.4 units</span>
Then, the line segment ST with vertices S(7, 0) and T(10, 4) is the top of the parallelogram.
The corresponding height of the parallelogram is the length of a line with endponts at RU and ST and perpendicular to both RU and ST.
The equation of the line segment RU is given by
Recall that given that two lines are perpendicular, the product of the slope of the two lines is -1.
Let the slope of the line perpendicular to line RU be m, then
Thus, the equation of the line perpendicular to RU passing through point (1, 1) is given by
The equation of the line segment ST is given by
The line perpendicular to line segment RU intersected line segment ST at the point given by
Thus, the corresponding height of the parallelogram is the line with endpoints
Recall that the length of a line passing through points
is given by
Thus, the length of the line passing through points
is given by
Therefore, <span>the corresponding height of the given parallelogram is 5.4 units</span>